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Finding the Fourth Proportional to 27,647.40, 38,180.58 and 17,594.76

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Solution

The fourth proportional to 27,647.40, 38,180.58 and 17,594.76 is: 24,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.40 : 38,180.58 = 17,594.76 : x
  2. Step 2: Convert to fraction form
    27,647.40/38,180.58 = 17,594.76/x
  3. Step 3: Cross multiply
    27,647.40x = 38,180.58 × 17,594.76
  4. Step 4: Simplify right side
    27,647.40x = 671,778,141.76
  5. Step 5: Solve for x
    x = 671,778,141.76/27,647.40
  6. Step 6: Final answer
    x = 24,298.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.